GCF of 2121/917, 6506/1310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2121/917, 6506/1310 i.e 1/9170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2121/917, 6506/1310.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2121/917,6506/1310?
Given fractions are 2121/917,6506/1310
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2121/917,6506/1310, numerators are 2121,6506
Denominators are 917,1310
The GCF of 2121,6506 is 1 .
LCM of 917,1310 is 9170.
The greatest common factor of 2121/917,6506/1310 = [GCF of 2121,6506]/[LCM of 917,1310]= 1/9170
Therefore, the GCF of 2121/917,6506/1310 is 1/9170.
To find the highest common factor of 2121,6506, we have to find the factors of both numbers and list the highest common factor.
The factors of 2121 are 1, 3, 7, 21, 101, 303, 707, 2121
The factors of 6506 are 1, 2, 3253, 6506
The HCF of 2121,6506 is 1.
Lets's calculate GCF of 2121,6506
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2121,6506 By Matching Biggest Common Factor Method
Now, list down the factors of 2121
:1,3,7,21,101,303,707,2121
Now, list down the factors of 6506
:1,2,3253,6506
Greatest Common Factor
We found the factors 2121,6506 . The biggest common factor number is the GCF number.
So the greatest common factor 2121,6506 is 1.
Lets's calculate LCM of 917,1310
| 131 | 917, 1310 |
| 7, 10 |
∴ So the LCM of the given numbers is 131 x 7 x 10 = 9170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9170
Therefore, the GCF of Fractions 2121/917,6506/1310 is 1/9170
Least Common Multiple of 917,1310 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 917,1310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,1310) = 131
common factors(in case of two or more numbers have common factors) = 1
GCF(917,1310) x common factors =131 x 1 = 131
LCM(917,1310) = ( 917 × 1310 ) / 131
LCM(917,1310) = 1201270 / 131
LCM(917,1310) = 9170
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FAQs on GCF of Fractions of 2121/917, 6506/1310
1. What is the HCF of 2121,6506?
The HCF of 2121,6506 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 2121/917, 6506/1310?
Answer: GCF of Numerators as per given numbers 2121/917, 6506/1310 is
GCF of Numerators i.e. for 2121,6506 is 1
LCM of denominators i.e. for 917,1310 is 9170.
Thus, GCF of Fractions is 1/9170.Finally, GCF of Fractions for 2121/917, 6506/1310 is 1/9170.